A new diffusive representation for fractional derivatives. I: Construction, implementation and numerical examples
From MaRDI portal
Publication:6612882
DOI10.1007/978-981-19-7716-9_1MaRDI QIDQ6612882
Publication date: 1 October 2024
Fractional derivatives and integrals (26A33) Numerical methods for ordinary differential equations (65Lxx) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
- On a critique of a numerical scheme for the calculation of fractionally damped dynamical systems
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Fast numerical solution of weakly singular Volterra integral equations
- Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals
- Numerical solution of fractional differential equations: a survey and a software tutorial
- Detailed error analysis for a fractional Adams method
- A predictor-corrector approach for the numerical solution of fractional differential equations
- An improved non-classical method for the solution of fractional differential equations
- A Gauss-Jacobi kernel compression scheme for fractional differential equations
- Numerical solution of fractional-order ordinary differential equations using the reformulated infinite state representation
- An efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterials
- Galerkin projections and finite elements for fractional order derivatives
- An efficient algorithm for the evaluation of convolution integrals
- Discretized Fractional Calculus
- A Fast Time Stepping Method for Evaluating Fractional Integrals
- Fast Numerical Solution of Nonlinear Volterra Convolution Equations
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
- Diffusive representation of pseudo-differential time-operators
- Exponential Sum Approximations for t−β
- The numerical solution of fractional differential equations: speed versus accuracy
This page was built for publication: A new diffusive representation for fractional derivatives. I: Construction, implementation and numerical examples